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<li class="navelem"><a class="el" href="dir_127e6aa213d41105176fe0c3bbb2560c.html">LEAF</a></li><li class="navelem"><a class="el" href="dir_2638202b9749e6ce2c919e410b7e2f43.html">Inc</a></li>  </ul>
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<div class="title">leaf-math.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/*==============================================================================</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> </span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> leaf-math.h</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> Created: 22 Jan 2017 7:02:56pm</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> Author:  Michael R Mulshine</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> </span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"> ==============================================================================*/</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160; </div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#ifndef LEAF_MATH_H_INCLUDED</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#define LEAF_MATH_H_INCLUDED</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160; </div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#ifdef __cplusplus</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="keyword">extern</span> <span class="stringliteral">&quot;C&quot;</span> {</div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    </div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &quot;leaf-global.h&quot;</span></div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &quot;math.h&quot;</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &quot;stdint.h&quot;</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &quot;stdlib.h&quot;</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &quot;limits.h&quot;</span></div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    </div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="comment">//==============================================================================</span></div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    </div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="comment">//==============================================================================</span></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    </div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="comment">// Allows for bitwise operations on floats</span></div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">union </span>unholy_t { <span class="comment">/* a union between a float and an integer */</span></div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        <span class="keywordtype">float</span> f;</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        <span class="keywordtype">int</span> i;</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    };</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160; </div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#define SQRT8 2.82842712475f</span></div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#define LEAF_SQRT2 1.41421356237f</span></div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="preprocessor">#define WSCALE 1.30612244898f</span></div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">#define PI              (3.14159265358979f)</span></div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#define TWO_PI          (6.28318530717958f)</span></div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#define HALF_PI         (1.570796326794897f)</span></div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160; </div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor">#define VSF             1.0e-38f</span></div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    </div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="preprocessor">#define MAX_DELAY       8192</span></div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="preprocessor">#define INV_128         0.0078125f</span></div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    </div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="preprocessor">#define INV_20         0.05f</span></div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="preprocessor">#define INV_40         0.025f</span></div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="preprocessor">#define INV_80         0.0125f</span></div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="preprocessor">#define INV_160        0.00625f</span></div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="preprocessor">#define INV_320        0.003125f</span></div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="preprocessor">#define INV_640        0.0015625f</span></div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="preprocessor">#define INV_1280       0.00078125f</span></div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;<span class="preprocessor">#define INV_2560       0.000390625f</span></div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;<span class="preprocessor">#define INV_5120       0.0001953125f</span></div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;<span class="preprocessor">#define INV_10240      0.00009765625f</span></div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;<span class="preprocessor">#define INV_20480      0.000048828125f</span></div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    </div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    </div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;<span class="preprocessor">#define INV_TWELVE                 0.0833333333f</span></div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="preprocessor">#define INV_440                     0.0022727273f</span></div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    </div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;<span class="preprocessor">#define LOG2                             0.3010299957f</span></div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="preprocessor">#define INV_LOG2                     3.321928095f</span></div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    </div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;<span class="preprocessor">#define SOS_M                         343.0f</span></div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;<span class="preprocessor">#define TWO_TO_5                     32.0f</span></div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;<span class="preprocessor">#define INV_TWO_TO_5             0.03125f</span></div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;<span class="preprocessor">#define TWO_TO_7                     128.f</span></div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;<span class="preprocessor">#define INV_TWO_TO_7             0.0078125f</span></div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;<span class="preprocessor">#define TWO_TO_8                     256.f</span></div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;<span class="preprocessor">#define INV_TWO_TO_8             0.00390625f</span></div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;<span class="preprocessor">#define TWO_TO_9                     512.f</span></div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;<span class="preprocessor">#define INV_TWO_TO_9             0.001953125f</span></div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;<span class="preprocessor">#define TWO_TO_10                 1024.f</span></div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;<span class="preprocessor">#define INV_TWO_TO_10         0.0009765625f</span></div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;<span class="preprocessor">#define TWO_TO_11                 2048.f</span></div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;<span class="preprocessor">#define INV_TWO_TO_11         0.00048828125f</span></div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;<span class="preprocessor">#define TWO_TO_12                 4096.f</span></div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;<span class="preprocessor">#define INV_TWO_TO_12         0.00024414062f</span></div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;<span class="preprocessor">#define TWO_TO_15                 32768.f</span></div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;<span class="preprocessor">#define TWO_TO_16                 65536.f</span></div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;<span class="preprocessor">#define INV_TWO_TO_15         0.00003051757f</span></div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;<span class="preprocessor">#define INV_TWO_TO_16         0.00001525878f</span></div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;<span class="preprocessor">#define TWO_TO_16_MINUS_ONE 65535.0f</span></div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;<span class="preprocessor">#define TWO_TO_23        8388608.0f</span></div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;<span class="preprocessor">#define INV_TWO_TO_23    0.00000011920929f</span></div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;<span class="preprocessor">#define TWO_TO_31        2147483648.0f</span></div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;<span class="preprocessor">#define INV_TWO_TO_31    0.000000000465661f</span></div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;<span class="preprocessor">#define TWO_TO_32        4294967296.0f</span></div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;<span class="preprocessor">#define INV_TWO_TO_32    0.000000000232831f</span></div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;    </div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="preprocessor">#define ONE_OVER_SQRT2  0.707106781186548f</span></div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160; </div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;<span class="preprocessor">#define LOGTEN 2.302585092994</span></div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;    <span class="keywordtype">float</span> log2f_approx(<span class="keywordtype">float</span> X);</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;    <span class="keywordtype">float</span> log2f_approx2(<span class="keywordtype">float</span> x);</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160; </div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;    <span class="comment">// Jones shaper</span></div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;    <span class="keywordtype">float</span> LEAF_shaper     (<span class="keywordtype">float</span> input, <span class="keywordtype">float</span> m_drive);</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;    <span class="keywordtype">float</span> LEAF_reedTable  (<span class="keywordtype">float</span> input, <span class="keywordtype">float</span> offset, <span class="keywordtype">float</span> slope);</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;    </div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;    <span class="keywordtype">float</span> LEAF_reduct (<span class="keywordtype">float</span> input, <span class="keywordtype">float</span> ratio);</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    <span class="keywordtype">float</span> LEAF_round (<span class="keywordtype">float</span> input, <span class="keywordtype">float</span> rnd);</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;    <span class="keywordtype">float</span> LEAF_bitwise_xor(<span class="keywordtype">float</span> input, uint32_t op);</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;    </div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;    <span class="keywordtype">float</span> LEAF_reduct (<span class="keywordtype">float</span> input, <span class="keywordtype">float</span> ratio);</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;    <span class="keywordtype">float</span> LEAF_round (<span class="keywordtype">float</span> input, <span class="keywordtype">float</span> rnd);</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;    <span class="keywordtype">float</span> LEAF_bitwise_xor(<span class="keywordtype">float</span> input, uint32_t op);</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;    </div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;    <span class="keywordtype">float</span>       LEAF_clip               (<span class="keywordtype">float</span> min, <span class="keywordtype">float</span> val, <span class="keywordtype">float</span> max);</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;    <span class="keywordtype">int</span>         LEAF_clipInt            (<span class="keywordtype">int</span> min, <span class="keywordtype">int</span> val, <span class="keywordtype">int</span> max);</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;    <span class="keywordtype">float</span>       LEAF_softClip           (<span class="keywordtype">float</span> val, <span class="keywordtype">float</span> thresh);</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;    <span class="keywordtype">int</span>         LEAF_isPrime            (uint64_t number );</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;    </div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    <span class="keywordtype">float</span>       LEAF_midiToFrequency    (<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;    <span class="keywordtype">float</span>       LEAF_frequencyToMidi(<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    </div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;    <span class="keywordtype">void</span>        LEAF_generate_sine     (<span class="keywordtype">float</span>* buffer, <span class="keywordtype">int</span> size);</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;    <span class="keywordtype">void</span>        LEAF_generate_sawtooth (<span class="keywordtype">float</span>* buffer, <span class="keywordtype">float</span> basefreq, <span class="keywordtype">int</span> size, <a class="code" href="struct_l_e_a_f.html">LEAF</a>* <span class="keyword">const</span> leaf);</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;    <span class="keywordtype">void</span>        LEAF_generate_triangle (<span class="keywordtype">float</span>* buffer, <span class="keywordtype">float</span> basefreq, <span class="keywordtype">int</span> size, <a class="code" href="struct_l_e_a_f.html">LEAF</a>* <span class="keyword">const</span> leaf);</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;    <span class="keywordtype">void</span>        LEAF_generate_square   (<span class="keywordtype">float</span>* buffer, <span class="keywordtype">float</span> basefreq, <span class="keywordtype">int</span> size, <a class="code" href="struct_l_e_a_f.html">LEAF</a>* <span class="keyword">const</span> leaf);</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;    </div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;    <span class="comment">// dope af</span></div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;    <span class="keywordtype">float</span>       LEAF_chebyshevT(<span class="keywordtype">float</span> in, <span class="keywordtype">int</span> n);</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;    <span class="keywordtype">float</span>       LEAF_CompoundChebyshevT(<span class="keywordtype">float</span> in, <span class="keywordtype">int</span> n, <span class="keywordtype">float</span>* amps);</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;    </div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;    <span class="comment">// Hermite interpolation</span></div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;    <span class="keywordtype">float</span> LEAF_interpolate_hermite (<span class="keywordtype">float</span> A, <span class="keywordtype">float</span> B, <span class="keywordtype">float</span> C, <span class="keywordtype">float</span> D, <span class="keywordtype">float</span> t);</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;    <span class="keywordtype">float</span> LEAF_interpolate_hermite_x(<span class="keywordtype">float</span> yy0, <span class="keywordtype">float</span> yy1, <span class="keywordtype">float</span> yy2, <span class="keywordtype">float</span> yy3, <span class="keywordtype">float</span> xx);</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;    <span class="keywordtype">float</span> LEAF_interpolation_linear (<span class="keywordtype">float</span> A, <span class="keywordtype">float</span> B, <span class="keywordtype">float</span> t);</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;    </div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;    <span class="keywordtype">float</span> interpolate3max(<span class="keywordtype">float</span> *buf, <span class="keyword">const</span> <span class="keywordtype">int</span> peakindex);</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;    <span class="keywordtype">float</span> interpolate3phase(<span class="keywordtype">float</span> *buf, <span class="keyword">const</span> <span class="keywordtype">int</span> peakindex);</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;    </div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160; </div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;    <span class="keywordtype">float</span> fastcosf(<span class="keywordtype">float</span> fAngle);</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160; </div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;    <span class="keywordtype">float</span> fastercosf(<span class="keywordtype">float</span> fAngle);</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160; </div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;    <span class="keywordtype">float</span> fasttanf (<span class="keywordtype">float</span> fAngle);</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160; </div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160; </div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;    <span class="keywordtype">float</span> fastertanf(<span class="keywordtype">float</span> fAngle);</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160; </div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160; </div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;    <span class="comment">// alternative implementation for abs()</span></div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;    <span class="comment">// REQUIRES: 32 bit integers</span></div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;    <span class="keywordtype">int</span> fastabs_int(<span class="keywordtype">int</span> in);</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;    </div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;    <span class="comment">// alternative implementation for abs()</span></div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;    <span class="comment">// REQUIRES: 32 bit floats</span></div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;    <span class="keywordtype">float</span> fastabsf(<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;    </div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;    <span class="keywordtype">float</span> fastexp2f(<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;    </div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;    <span class="keywordtype">float</span> fastPowf(<span class="keywordtype">float</span> a, <span class="keywordtype">float</span> b) ;</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    <span class="keywordtype">double</span> fastPow(<span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b);</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160; </div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;    </div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;    <span class="keywordtype">void</span> LEAF_crossfade(<span class="keywordtype">float</span> fade, <span class="keywordtype">float</span>* volumes);</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160; </div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;    <span class="keywordtype">float</span> LEAF_tanh(<span class="keywordtype">float</span> x);</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;    <span class="keywordtype">float</span> LEAF_tanhNoClip(<span class="keywordtype">float</span> x);</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;    <span class="keywordtype">float</span> fast_tanh(<span class="keywordtype">float</span> x);</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;    <span class="keywordtype">float</span> fast_tanh2(<span class="keywordtype">float</span> x);</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;    <span class="keywordtype">float</span> fast_tanh3(<span class="keywordtype">float</span> x);</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;    <span class="keywordtype">float</span> fast_tanh4(<span class="keywordtype">float</span> x);</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160; </div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;    <span class="comment">//0.001 base gives a good curve that goes from 1 to near zero</span></div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;    <span class="comment">//1000 gives a good curve from -1.0 to 0.0</span></div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;    <span class="keywordtype">void</span> LEAF_generate_exp(<span class="keywordtype">float</span>* buffer, <span class="keywordtype">float</span> base, <span class="keywordtype">float</span> start, <span class="keywordtype">float</span> end, <span class="keywordtype">float</span> offset, <span class="keywordtype">int</span> size);</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160; </div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160; </div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;    <span class="keywordtype">void</span> LEAF_generate_atodb(<span class="keywordtype">float</span>* buffer, <span class="keywordtype">int</span> size);</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;    <span class="keywordtype">void</span> LEAF_generate_atodbPositiveClipped(<span class="keywordtype">float</span>* buffer, <span class="keywordtype">float</span> lowerThreshold, <span class="keywordtype">float</span> range, <span class="keywordtype">int</span> size);</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160; </div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;    </div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;    <span class="keywordtype">float</span> LEAF_poly_blep(<span class="keywordtype">float</span> t, <span class="keywordtype">float</span> dt);</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;    <span class="keywordtype">float</span> LEAF_midiToFrequency(<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160; </div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160; </div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;    <span class="keywordtype">float</span> fast_mtof(<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160; </div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;    <span class="keywordtype">double</span> fastexp(<span class="keywordtype">double</span> x);</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160; </div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;    <span class="keywordtype">float</span> fastexpf(<span class="keywordtype">float</span> x);</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160; </div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;    <span class="keywordtype">double</span> fasterexp(<span class="keywordtype">double</span> x);</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160; </div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;    <span class="keywordtype">float</span> fasterexpf(<span class="keywordtype">float</span> x);</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;    </div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;    <span class="keywordtype">float</span> fastsqrtf(<span class="keywordtype">float</span> x);</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160; </div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;    <span class="keywordtype">float</span> mtof(<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;    </div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;    <span class="keywordtype">float</span> fast_mtof(<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160; </div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;    <span class="keywordtype">float</span> faster_mtof(<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160; </div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;    <span class="keywordtype">float</span> ftom(<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;    </div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;    <span class="keywordtype">float</span> powtodb(<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;    </div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;    <span class="keywordtype">float</span> rmstodb(<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;    </div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;    <span class="keywordtype">float</span> dbtopow(<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;    </div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;    <span class="keywordtype">float</span> dbtorms(<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;    </div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;    <span class="keywordtype">float</span> atodb(<span class="keywordtype">float</span> a);</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160; </div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;    <span class="keywordtype">float</span> dbtoa(<span class="keywordtype">float</span> db);</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160; </div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;    <span class="keywordtype">float</span> fastdbtoa(<span class="keywordtype">float</span> db);</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160; </div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;    <span class="keywordtype">float</span> fasterdbtoa(<span class="keywordtype">float</span> db);</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160; </div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;    <span class="keywordtype">float</span> maximum (<span class="keywordtype">float</span> num1, <span class="keywordtype">float</span> num2);</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160; </div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;    <span class="keywordtype">float</span> minimum (<span class="keywordtype">float</span> num1, <span class="keywordtype">float</span> num2);</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;    </div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;    <span class="comment">// built in compiler popcount functions should be faster but we want this to be portable</span></div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;    <span class="comment">// could try to add some define that call the correct function depending on compiler</span></div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;    <span class="comment">// or let the user pointer popcount() to whatever they want</span></div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;    <span class="comment">// something to look into...</span></div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;    <span class="keywordtype">int</span> popcount(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> x);</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;    </div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;    <span class="keywordtype">float</span> median3f(<span class="keywordtype">float</span> a, <span class="keywordtype">float</span> b, <span class="keywordtype">float</span> c);</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160; </div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;    <span class="keywordtype">void</span> place_step_dd(<span class="keywordtype">float</span> *buffer, <span class="keywordtype">int</span> index, <span class="keywordtype">float</span> phase, <span class="keywordtype">float</span> w, <span class="keywordtype">float</span> scale);</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160; </div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;    <span class="keywordtype">void</span> place_slope_dd(<span class="keywordtype">float</span> *buffer, <span class="keywordtype">int</span> index, <span class="keywordtype">float</span> phase, <span class="keywordtype">float</span> w, <span class="keywordtype">float</span> slope_delta);</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160; </div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;    <span class="comment">//==============================================================================</span></div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;    </div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;<span class="preprocessor">#ifdef __cplusplus</span></div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;}</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160; </div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;<span class="preprocessor">#endif  // LEAF_MATH_H_INCLUDED</span></div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160; </div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;<span class="comment">//==============================================================================</span></div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160; </div>
</div><!-- fragment --></div><!-- contents -->
<div class="ttc" id="astruct_l_e_a_f_html"><div class="ttname"><a href="struct_l_e_a_f.html">LEAF</a></div><div class="ttdoc">Struct for an instance of LEAF.</div><div class="ttdef"><b>Definition:</b> leaf-global.h:31</div></div>
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